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120581680 = 2451788663
BaseRepresentation
bin1110010111111…
…10111000110000
322101220011222011
413023332320300
5221332103210
615544252304
72662633042
oct713767060
9271804864
10120581680
116207988a
1234471094
131bc9b90b
141202ba92
15a8bcd8a
hex72fee30

120581680 has 40 divisors (see below), whose sum is σ = 296847072. Its totient is φ = 45394944.

The previous prime is 120581641. The next prime is 120581683. The reversal of 120581680 is 86185021.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (120581683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42972 + ... + 45691.

Almost surely, 2120581680 is an apocalyptic number.

120581680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120581680 is an abundant number, since it is smaller than the sum of its proper divisors (176265392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120581680 is a wasteful number, since it uses less digits than its factorization.

120581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88693 (or 88687 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 120581680 is about 10980.9689918513. The cubic root of 120581680 is about 494.0381007291.

The spelling of 120581680 in words is "one hundred twenty million, five hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 88663 177326 354652 443315 709304 886630 1418608 1507271 1773260 3014542 3546520 6029084 7093040 7536355 12058168 15072710 24116336 30145420 60290840 120581680